| In an examination, a student who gets 20% of the maximum marks fails by 5 marks. Another student who scores 30% of the maximum marks gets 20 marks more than the pass marks. The necessary percentage required for passing is |
A) 32%
B) 23%
C) 22%
D) 20%
Correct Answer: C
Solution :
| Let the maximum marks be x. |
| According to the question, |
| 20% of \[x+5=30\]% of \[x-20\] |
| \[\Rightarrow \text{ }[(30-20)]\] % of x = 25 |
| \[\Rightarrow \] \[x=\frac{25\times 100}{10}=250\] |
| \[\therefore \] Pass marks = 20% of \[250+5=55\] |
| \[\therefore \] Pass marks percentage \[=\frac{55}{250}\times 100=22\]% |
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